The process of dip-coating aims to deposit a thin liquid layer on the surface of an object by withdrawing the latter from a liquid bath in which it is initially immersed.
This simple technique is employed in many industrial processes in order to modify the properties of a solid surface [1]}, with applications ranging from anti-corrosion treatments and optically modified glasses, to surface functionalisation of bio-implants.
The hydrodynamics of dip-coating have been known for nearly 80 years.
The original description of this process dates back to the now classical work of [2]}, followed by the contribution of [3]}, who included the effect of gravity.
We will refer to their description of the one-liquid dip-coating problem as the LLD theory.
Later on, when the relevant mathematical tools became available, the rigorous asymptotic theory underlying these initial developments was proposed by [4]}.
